Best Speakers for around $2000

That's a really difficult room, what does the side w/o a wall open up to?

Given your constraints, a pair of monitors with or without a subwoofer would seem to be the obvious solution. I am currently using Hyperion 585s which are decent and well within your budget. I happen to really like the sound of JM Labs which are my main speakers. Occasionally you see some really good deals on older mini and micro Utopias which are of course outstanding. Immediately you could get a pair of the Electra series monitors. I suggest that you peruse the monitors for sale and see what you can get. There are tons of them out there, but again, don't expect them to sound like your headphones. I would anticipate that you will also need good cables for them so try and figure that into your overall cost.

In general, for a room like that I would look for the smallest good monitors or floor standers I could find. Better to not have the speakers overpower the room and limit placement options.

Some good options I have heard and could recommend to consider might be OHm Micro Walsh talls or shorts, Totem Arro, Triangle Titus or Comete, or smaller Dynaudio monitors.

Probaly best to try to keep any of these out away from teh walls a bit for best results. Also, I would probably look to have the glass sliding door behind the speakers if possible.

I'm guessing small speakers with limited bass output, narrow dispersion, that aren't too bright on axis, positioned with a rather high degree of toe in, and designed to be close to the wall behind them or with close listening position driver integration, might be the ticket. Putting some very absorbent material (heavy drapes?) on that large glass surface would be a very good idea.

Gallo Stradas would be a good choice, and I almost mentioned them initially. They will not go super deep without the sub, but the sub might not be a wise move in an apartment anyway. I'm guessing you don't want to deal with boutique American speakers (like Fritz) in S. Korea. Even if no one handles the Stradas over there, they are small, and likely will ship comparatively cheap, esp. if you go for the wall mounts and not the stands (I hunch the stands sound better, but you might research this.) They will also be comparatively unobtrusive, and sound pretty good, in a small room. They'd be a fine choice. John